GCD of 362, 908, 731, 802 Calculator

Given Input numbers are 362, 908, 731, 802

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 731

List of positive integer divisors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 362, 908, 731, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 908, 731, 802 is 1.

Therefore, GCD of numbers 362, 908, 731, 802 is 1

Given Input Data is 362, 908, 731, 802

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 362 is 2 x 181

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 731 is 17 x 43

Prime Factorization of 802 is 2 x 401

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(362, 908) = 164348

GCD(362, 908) = ( 362 x 908 ) / 164348

GCD(362, 908) = 328696 / 164348

GCD(362, 908) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 731

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 731) = 1462

GCD(2, 731) = ( 2 x 731 ) / 1462

GCD(2, 731) = 1462 / 1462

GCD(2, 731) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 362, 908, 731, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 997, 438, 305
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1. What is the GCD of 362, 908, 731, 802?

GCD of 362, 908, 731, 802 is 1

2. Where do I get the detailed procedure to find GCD of 362, 908, 731, 802?

You can find a detailed procedure to find GCD of 362, 908, 731, 802 on our page.

3. How to find GCD of 362, 908, 731, 802 on a calculator?

You can find the GCD of 362, 908, 731, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.